The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  1  1  0  1  1  0 X+2  X  1  1  1  1  1  1  1  1  1  1 X+2 X+2  0  1 X+2  0  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  3 X+2  1 X+1  0  1  1  1  3 X+1  0 X+2 X+2 X+1  3 X+3 X+1  0  1  1  1 X+2  1  1 X+1
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  0  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  2  2  2  2  2  0  0  0  0  0  2  0  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  0
 0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0  2  0  0  2  2  2  2  0  2  0  2  0  2  2  0  2  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  0

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+100x^36+24x^37+204x^38+176x^39+443x^40+360x^41+540x^42+416x^43+590x^44+360x^45+356x^46+176x^47+235x^48+24x^49+52x^50+24x^52+9x^56+6x^60

The gray image is a code over GF(2) with n=172, k=12 and d=72.
This code was found by Heurico 1.16 in 0.555 seconds.